question_answer

The point of intersection of the lines \[\overrightarrow{r}=7\hat{i}+10\hat{j}+13\hat{k}+s\,\,(2\hat{i}+3\hat{j}+4\hat{k})\] and \[\overrightarrow{r}=3\hat{i}+5\hat{j}+7\hat{k}+t\,\,(\hat{i}+2\hat{j}+3\hat{k})\] is

A)  \[\hat{i}+\hat{j}-\hat{k}\]                    

B)  \[2\hat{i}-\hat{j}+4\hat{k}\]

C)  \[\hat{i}-\hat{j}+\hat{k}\]                    

D)  \[\hat{i}+\hat{j}+\hat{k}\]

E)  None of these